Pith Number

pith:ZUSMR3CH

pith:2019:ZUSMR3CH7XOII6GIDNBM25CJZR

not attested not anchored not stored refs pending

Gravitational Lensing in presence of Plasma: Strong Lens Systems, Black Hole Lensing and Shadow

Gennady S. Bisnovatyi-Kogan, Oleg Yu. Tsupko

arxiv:1905.06615 v1 · 2019-05-16 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUSMR3CH7XOII6GIDNBM25CJZR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Probing Kalb-Ramond gravity with charged rotating black holes: constraints from EHT observations

Receipt and verification

First computed	2026-05-17T23:46:01.672618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd24c8ec47fddc8478c81b42cd7449cc731a08234744a11e1e3fbe76f0b8000d

Aliases

arxiv: 1905.06615 · arxiv_version: 1905.06615v1 · doi: 10.48550/arxiv.1905.06615 · pith_short_12: ZUSMR3CH7XOI · pith_short_16: ZUSMR3CH7XOII6GI · pith_short_8: ZUSMR3CH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZUSMR3CH7XOII6GIDNBM25CJZR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cd24c8ec47fddc8478c81b42cd7449cc731a08234744a11e1e3fbe76f0b8000d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2923011c4a8bfb9ba5a6c23f0517622052d01dfe3dadd3e5fc1ed789b6ac0e58",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-05-16T09:36:39Z",
    "title_canon_sha256": "97bab986836c750c89af83b90d0051f945dcc79e3c0b4c6ecc052e71cd4437ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06615",
    "kind": "arxiv",
    "version": 1
  }
}